Диктант-тест "Зміст визначеного інтегралу"

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З

$F^{^{\prime}}\left(x\right)=f\left(x\right)$

$S\left(x\right)=\int_{m}^{h}f\left(x\right)\differentialD x$

$\int k\cdot f\left(x\right)\differentialD x=k\cdot F\left(x\right)+C$

$S^{^{\prime}}\left(t\right)=v\left(t\right)$

$S\left(t\right)=\int_{m}^{h}v\left(t\right)\differentialD t$

$\int_{m}^{h}f\left(kx+b\right)\differentialD x=\frac{1}{k}\cdot F\left(kh+b\right)-F\left(\operatorname{km}+b\right)$

$F^{^{\prime}}\left(x\right)=f\left(x\right)$

$S\left(x\right)=\int_{m}^{h}f\left(x\right)\differentialD x$

$\int k\cdot f\left(x\right)\differentialD x=k\cdot F\left(x\right)+C$

$S^{^{\prime}}\left(t\right)=v\left(t\right)$

$S\left(t\right)=\int_{m}^{h}v\left(t\right)\differentialD t$

$\int_{m}^{h}f\left(kx+b\right)\differentialD x=\frac{1}{k}\cdot F\left(kh+b\right)-F\left(\operatorname{km}+b\right)$

$\int_{-1}^2f\left(x\right)\differentialD x$

$\int_0^2f\left(\right.x)\differentialD x$

$\int_0^4f\left(\right.x)\differentialD x$

$\int_{-1}^4f\left(x\right)\differentialD x$

$\int_2^4f\left(x\right)\differentialD x$

$\int_{-1}^2f\left(x\right)\differentialD x+\int_2^4f\left(x\right)\differentialD x$

$\int_{-1}^2F\left(x\right)\differentialD x$

$\int_0^9f\left(x\right)\differentialD x$

$\int_3^92f\left(\right.x)\differentialD x$

$\int_3^5f\left(x\right)\differentialD x-\int_5^9f\left(x\right)\differentialD x$

$\int_{10}^{11}f\left(x\right)\differentialD x$

$2\int_3^9f\left(x\right)\differentialD x$

$\int_3^5f\left(x\right)\differentialD x+\int_5^9f\left(x\right)\differentialD x$

$\int_3^9F\left(x\right)\differentialD x$

$\int_3^9\left(f\left(x\right)+f\left(x\right)\right)\differentialD x$

$\int_1^4f\left(x\right)\differentialD x$

$\int_0^2f\left(\right.x)\differentialD x$

$\int_0^4f\left(\right.x)\differentialD x$

$\int_4^1f\left(x\right)\differentialD x$

$\int_2^4f\left(x\right)\differentialD x$

$\int_1^4f\left(x\right)\differentialD x+\int_2^4f\left(x\right)\differentialD x$

$\int_1^4F\left(x\right)\differentialD x$

$\int_{-1}^2f\left(x\right)\differentialD x$

$\int_0^2f\left(\right.x)\differentialD x$

$\int_0^4f\left(\right.x)\differentialD x$

$\int_{-1}^4f\left(x\right)\differentialD x$

$\int_2^4f\left(x\right)\differentialD x$

$\int_{-1}^2f\left(x\right)\differentialD x+\int_2^4f\left(x\right)\differentialD x$

$\int_{-1}^2F\left(x\right)\differentialD x$

$\int_{b}^{a}\left(m\left(x)-h\left(x\right)\right)\right.\differentialD x$

$\int_{b}^{a}h\left(x\right)\differentialD x-\int_{b}^{a}m\left(x\right)\differentialD x$

$\int_{m}^{h}\left(\left.b-a\right)\right.\differentialD x$

$\int_{a}^{b}m\left(x\right)\differentialD x-\int_{a}^{b}h\left(x\right)\differentialD x$

$\int_{m}^{h}\left(a-b\right)\differentialD x$

$\int_{a}^{b}\left(h\left(x\right)-m\left(x\right)\right)\differentialD x$

$\int_{b}^{a}\left(m\left(x)-h\left(x\right)\right)\right.\differentialD x$

$\int_{b}^{a}h\left(x\right)\differentialD x-\int_{b}^{a}m\left(x\right)\differentialD x$

$\int_{m}^{h}\left(\left.b-a\right)\right.\differentialD x$

$\int_{a}^{b}m\left(x\right)\differentialD x-\int_{a}^{b}h\left(x\right)\differentialD x$

$\int_{m}^{h}\left(a-b\right)\differentialD x$

$\int_{a}^{b}\left(h\left(x\right)-m\left(x\right)\right)\differentialD x$

$\int_2^7\left(f\left(x)-g\left(x\right)\right)\right.\differentialD x$

$\int_2^7g\left(x\right)\differentialD x-\int_2^7f\left(x\right)\differentialD x$

$\int_1^4\left(\left.f-g\right)\right.\differentialD x$

$\int_1^4g\left(x\right)\differentialD x-\int_1^4f\left(x\right)\differentialD x$

$\int_7^2\left(f-g\right)\differentialD x$

$\int_7^2\left(g\left(x\right)-f\left(x\right)\right)\differentialD x$

$\int_1^4\left(f\left(x\right)+g\left(x\right)\right)\differentialD x$

$\int_2^7g\left(x\right)\differentialD x+\int_2^7f\left(x\right)\differentialD x$

$\int_1^4g\left(x\right)\differentialD x-\int_2^7f\left(x\right)\differentialD x$

$\int_{-16}^7\left(g\left(x)+g\left(x\right)\right)\right.\differentialD x$

$\int_{-16}^0g\left(x\right)\differentialD x-\int_0^7g\left(x\right)\differentialD x$

$\int_{-16}^7g\left(x\right)\differentialD x$

$\int_{-16}^0g\left(x\right)\differentialD x+\int_0^7g\left(x\right)\differentialD x$

$\int_{-2}^4\left(g\left(x\right)+g\left(x\right)\right)\differentialD x$

$\int_{-2}^4g\left(x\right)\differentialD x+\int_{-16}^7g\left(x\right)\differentialD x$

0,5

0

√3/2

-1,5

1

1,5

0,5

0

√3/2

-1,5

1

1,5

11

-11

1

2,25

14/3

11,25

$\frac{7}{\ln2}$

$\frac{7}{2\ln2}$

$\frac{9}{2\ln2}$

$\frac{3}{2\ln2}$

$\frac72\ln2$

$\frac92\ln2$

$\frac{3}{\ln2}$

$\frac{2}{\ln2}$

25/4

$\pi$

$\frac{25\pi}{2}$

$\frac{\pi}{2}$

$\frac{25\pi}{4}$

$25\pi$